Search a number
-
+
4061089032 = 233721113193141
BaseRepresentation
bin1111001000001111…
…0100110100001000
3101111000122200211220
43302003310310020
531304114322112
61510551122040
7202431454500
oct36203646410
911430580756
104061089032
1117a4419330
12954073320
134c9490280
142a74d6a00
1518b7e098c
hexf20f4d08

4061089032 has 768 divisors, whose sum is σ = 15444172800. Its totient is φ = 870912000.

The previous prime is 4061088961. The next prime is 4061089049. The reversal of 4061089032 is 2309801604.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4061088984 and 4061089002.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 99050932 + ... + 99050972.

It is an arithmetic number, because the mean of its divisors is an integer number (20109600).

Almost surely, 24061089032 is an apocalyptic number.

4061089032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4061089032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722086400).

4061089032 is an abundant number, since it is smaller than the sum of its proper divisors (11383083768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4061089032 is a wasteful number, since it uses less digits than its factorization.

4061089032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4061089032 is about 63726.6744150360. The cubic root of 4061089032 is about 1595.4413249281.

The spelling of 4061089032 in words is "four billion, sixty-one million, eighty-nine thousand, thirty-two".